Search a number
-
+
11344240100 = 2252977116113
BaseRepresentation
bin10101001000010101…
…10101110111100100
31002021121012002212202
422210022311313210
5141213111140400
65113402234032
7551056310204
oct124412656744
932247162782
1011344240100
1148a1589546
1222471b5918
1310ba344c0b
147988bc404
15465ddb4d5
hex2a42b5de4

11344240100 has 36 divisors (see below), whose sum is σ = 24642409764. Its totient is φ = 4533012480.

The previous prime is 11344240087. The next prime is 11344240123. The reversal of 11344240100 is 104244311.

11344240100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 116294656 + 11227945444 = 10784^2 + 105962^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39644 + ... + 155756.

Almost surely, 211344240100 is an apocalyptic number.

11344240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11344240100 is an abundant number, since it is smaller than the sum of its proper divisors (13298169664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11344240100 is a wasteful number, since it uses less digits than its factorization.

11344240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117104 (or 117097 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11344240100 its reverse (104244311), we get a palindrome (11448484411).

The spelling of 11344240100 in words is "eleven billion, three hundred forty-four million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 977 1954 3908 4885 9770 19540 24425 48850 97700 116113 232226 464452 580565 1161130 2322260 2902825 5805650 11611300 113442401 226884802 453769604 567212005 1134424010 2268848020 2836060025 5672120050 11344240100